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Recent Trends in Mathematical Modeling and High Performance Computing

M3HPCST-2020, Ghaziabad, India, January 9-11, 2020

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Vinai K. Singh

    1. Department of Applied Mathematics, Inderprastha Engineering College, Ghaziabad, UP, India

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  2. Yaroslav D. Sergeyev

    1. DIMES, University of Calabria, Rende, Italy

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  3. Andreas Fischer

    1. Faculty of Math and Natural Sciences, Technische Universität Dresden, Dresden, Germany

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  • Explores connections and emerging trends in mathematical modeling, computational methods, and high performance computing
  • Examines complex problems in the natural sciences and engineering, and how recent developments in high performance computing may help solve them
  • Collects talks presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held in January 2020

Part of the book series: Trends in Mathematics (TM)

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About this book

This volume explores the connections between mathematical modeling, computational methods, and high performance computing, and how recent developments in these areas can help to solve complex problems in the natural sciences and engineering. The content of the book is based on talks and papers presented at the conference Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST), held at Inderprastha Engineering College in Ghaziabad, India in January 2020. A wide range of both theoretical and applied topics are covered in detail, including the conceptualization of infinity, efficient domain decomposition, high capacity wireless communication, infectious disease modeling, and more. These chapters are organized around the following areas:

  • Partial and ordinary differential equations
  • Optimization and optimal control
  • High performance and scientific computing
  • Stochastic models and statistics

Recent Trends in Mathematical Modeling and High Performance Computing will be of interest to researchers in both mathematics and engineering, as well as to practitioners who face complex models and extensive computations.

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Table of contents (32 papers)

  1. Front Matter

    Pages i-xvi
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  2. Partial and Ordinary Differential Equations

    1. Front Matter

      Pages 1-1
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    2. Some Significant Results on the Union Graph Derived from Topological Space

      • R. A. Muneshwar, K. L. Bondar
      Pages 3-12

    3. Existence and Uniqueness Results of Second Order Summation–Difference Equations in Cone Metric Space

      • G. C. Done, K. L. Bondar, P. U. Chopade
      Pages 13-22

    4. Influence of Radiant Heat and Non-uniform Heat Source on MHD Casson Fluid Flow of Thin Liquid Film Beyond a Stretching Sheet

      • Jagadish V. Tawade, Mahadev Biradar, Shaila S. Benal
      Pages 23-36

    5. MHD Boundary Layer Flow of Casson Fluid with Gyrotactic Microorganisms over Porous Linear Stretching Sheet and Heat Transfer Analysis with Viscous Dissipation

      • G. C. Sankad, Ishwar Maharudrappa
      Pages 37-48

    6. Design of Coupled FIR Filters for Solving the Nuclear Reactor Point Kinetics Equations with Feedback

      • M. Mohideen Abdul Razak
      Pages 49-61

    7. Convergence of Substructuring Domain Decomposition Methods for Hamilton–Jacobi Equation

      • Bankim C. Mandal
      Pages 63-72

    8. Dynamical Behaviour of Dengue: An SIR Epidemic Model

      • Sudipa Chauhan, Sumit Kaur Bhatia, Simrat Chaudhary
      Pages 73-94

    9. Deformable Derivative of Fibonacci Polynomials

      • Krishna Kumar Sharma
      Pages 95-104

  3. Optimization and Optimal Control

    1. Front Matter

      Pages 105-105
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    2. Simulation and Analysis of 5G Wireless mm-Wave Modulation Technique for High Capacity Communication System

      • M. Vinothkumar, Vinod Kumar
      Pages 107-111

    3. Controllability of Fractional Stochastic Delayed System with Nonlocal Conditions

      • Surendra Kumar
      Pages 113-127

    4. On Noncritical Solutions of Complementarity Systems

      • Andreas Fischer, Mario Jelitte
      Pages 129-141

    5. Testing the Performance of Some New Hybrid Metaheuristic Algorithms for High-Dimensional Optimization Problems

      • Souvik Ganguli
      Pages 143-162

    6. Consumer Decisions in the Age of the Internet: Filtering Information When Searching for Valuable Goods

      • David M. Ramsey
      Pages 163-183

    7. Optimality Conditions for Vector Equilibrium Problems

      • Ali Farajzadeh, Sahar Ranjbar
      Pages 185-194

    8. Strong Pseudoconvexity and Strong Quasiconvexity of Non-differentiable Functions

      • Sanjeev Kumar Singh, Avanish Shahi, Shashi Kant Mishra
      Pages 195-205

    9. Optimality and Duality of Pseudolinear Multiobjective Mathematical Programs with Vanishing Constraints

      • Jitendra Kumar Maurya, Avanish Shahi, Shashi Kant Mishra
      Pages 207-218

    10. The Solvability and Optimality for Semilinear Stochastic Equations with Unbounded Delay

      • Yadav Shobha, Surendra Kumar
      Pages 219-238
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Editors and Affiliations

  • Department of Applied Mathematics, Inderprastha Engineering College, Ghaziabad, UP, India

    Vinai K. Singh

  • DIMES, University of Calabria, Rende, Italy

    Yaroslav D. Sergeyev

  • Faculty of Math and Natural Sciences, Technische Universität Dresden, Dresden, Germany

    Andreas Fischer

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